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Finding the Third Proportional to 65,623.50 and 140,562

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Solution

The third proportional to 65,623.50 and 140,562 is: 301,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,623.50 : 140,562 = 140,562 : x
  2. Step 2: Convert to fraction form
    65,623.50/140,562 = 140,562/x
  3. Step 3: Cross multiply
    65,623.50x = 140,562 × 140,562
  4. Step 4: Simplify right side
    65,623.50x = 19,757,675,844
  5. Step 5: Solve for x
    x = 19,757,675,844/65,623.50
  6. Step 6: Final answer
    x = 301,076.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.